Equation of a line

Question

What is an equation of a line parallel to the line 9y - 2x =36 and containing the point (-10,12)

please help

Answer 1

Greetings! Lets solve this shall we ?

So, let the given equation of a line be y = (2/9)x + 4 after solving for y passing through the point (-10, 12). We must find a line parallel to this line. We can find it by using the point-slope form of a line such that,

y - y1 = m(x - x1)................We use the same slope to have the parallel effect to the original line passing through (-10, 12) such that

y - 12 = (2/9)(x - (-10)).................We simplify to get

y - 12 = (2/9)(x + 10)..............Then distribute such that

y - 12 = (2/9)x + (20/9)...........Finally adding 12 to both sides such that

y = (2/9)x + (128/9)...............because (20/9) + 12 = 128/9

I hope this helped!